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Finding the Fourth Proportional to 6,933.78, 9,565.29 and 4,280.22

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Solution

The fourth proportional to 6,933.78, 9,565.29 and 4,280.22 is: 5,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.78 : 9,565.29 = 4,280.22 : x
  2. Step 2: Convert to fraction form
    6,933.78/9,565.29 = 4,280.22/x
  3. Step 3: Cross multiply
    6,933.78x = 9,565.29 × 4,280.22
  4. Step 4: Simplify right side
    6,933.78x = 40,941,545.56
  5. Step 5: Solve for x
    x = 40,941,545.56/6,933.78
  6. Step 6: Final answer
    x = 5,904.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.